Rational Chebyshev collocation method for solving nonlinear heat transfer equations

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dc.contributor.authorDeniz, S
dc.contributor.authorSezer, M
dc.date.accessioned2024-07-18T11:49:33Z
dc.date.available2024-07-18T11:49:33Z
dc.description.abstractIn this paper, the classical collocation method has been revisited and modified by using the Chebyshev polynomials for solving nonlinear differential equations. Linear and nonlinear terms are converted to algebraical equations with the aid of the matrix relations. Resulting equations are solved to get unknown coefficients of rational Chebyshev polynomials. We apply the proposed technique for solving nonlinear heat transfer equations. Obtained results reveal that the rational Chebyshev collocation method can be safely applied to different types of nonlinear ordinary differential equations arising in science and engineering.
dc.identifier.issn0735-1933
dc.identifier.other1879-0178
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/4107
dc.language.isoEnglish
dc.publisherPERGAMON-ELSEVIER SCIENCE LTD
dc.subjectDIFFERENTIAL-DIFFERENCE EQUATIONS
dc.subjectHOMOTOPY ANALYSIS METHOD
dc.subjectINTEGRODIFFERENTIAL EQUATIONS
dc.subjectAPPROXIMATE SOLUTION
dc.subjectMODEL
dc.titleRational Chebyshev collocation method for solving nonlinear heat transfer equations
dc.typeArticle

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